The proof against local realism is humankind’s the most relevant finding in the realm of science and philosophy; there is no excuse to be ignorant about it while pretending to be interested and knowledgeable about cool science and its implications for philosophy. It was a difficult topic once, but from now on, there is no excuse anymore: Any good high school student, certainly any university undergraduate is able to follow the arguments as long as there is no religious/obsessive hurdle to overcome internally.

Here is a study guide to the disproof of 'local realism' and the solution of the Einstein Podolsky Rosen paradox. UPDATE: What is written in this post is now mostly much better accessed in this, extremely pedagogically written article: http://arxiv.org/abs/1311.5419

The following posts help to understand the preprints:

1) Disproving Local Realism and Hidden Variable Madness. The experimental setup is introduced and the ground set: Quantum physics disproves local realistic models. It may be helpful to also read about the Quantum Randi Challenge, which will make it yet clearer that no locally realistic model can be quantum mechanical. However, the Quantum Randi Challenge is a side issue here.

2) Spooky World or Crazy Mind: Nonlocality versus Antirealism is somewhat of an introduction that should help to understand that there are two sides to local realism, namely (Einstein) locality and (direct/naive) realism. This post may help to understand the introduction and thus the general problematic, but it is not necessary to understand the main arguments.